Singular forces and pointlike colloids in lattice Boltzmann hydrodynamics

R. W. Nash, R. Adhikari, M. E. Cates

Research output: Contribution to journalArticlepeer-review


We present an accurate method to include arbitrary singular distributions of forces in the lattice Boltzmann formulation of hydrodynamics. We validate our method with several examples involving Stokeslet, stresslet, and rotlet singularities, finding excellent agreement with analytical results. A minimal model for sedimenting particles is presented using the method. In the dilute limit, this model has accuracy comparable to, but computational efficiency much greater than, algorithms that explicitly resolve the size of the particles.

Original languageEnglish
Article number026709
Pages (from-to)-
Number of pages11
JournalPhysical Review E
Issue number2
Publication statusPublished - Feb 2008


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